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2. When two competing teams are equally matched, the probability that each team wins any game is 0.5. The NBA championship goes to the team that wins four games in a best-of- seven series. If the teams were equally matched, the probability that the final series ends with one of the teams sweeping four straight games would be 2 x 0.54. Further probability calculations indicate that 25% of these series should last five games, 31.25% should last six games, and the other 31.25% should last the full seven games. The table shows the number of games it took to decide each of the last 57 NBA champs. Length of series |4 games 5 games 6 games |7 games NBA finals 7 13 22 15 (a) Enter this data into SPSS. ( b ) Name the statistical test we should use to determine whether the population distribution matches the expected distribution. (c) Test an appropriate hypothesis at 5% significance to determine whether the population distribution matches the expected distribution. Give statistical evidence to support your conclusion. (d) Assuming that the null hypothesis were true, explain carefully what the asymptotic significance value tells us